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Let’s say that you won $20 from a lottery scratch off. You cash it in and want to share this instant winning money with your friends. You need to share it equally. That means you want to keep an equal amount of money and share equally the rest with your 3 friends. Can you do that?
Actually, you can. This has to do with the factors of 20. There are a certain number of factors that the number 20 has. We need to see if four is a factor of 20. The best way to go about doing this is to find all of the factors of 20. Then we will know the amount that each person including yourself will get from the $20 split.
Factors of 20 are 1, 2, 4, 5, 10, 20
First, we need to look at the number 20. How can we break down 20? Think about what number can evenly go into 20 without having a remainder. The best way to do that with an even number is to divide it by two.
That is the great thing about finding factors of even numbers. They always have the number 2 as a factor. So, let’s start there. Look at the visual below. This shows you the factors of 20.
This diagram shows you the factors of 20 with money. To start, the 20 dollar-bill at the top means that two factors of 20 are, of course, 1 and itself, 20.
Then there are two other sets of factors. Two and ten are factors of 20 because when you multiply two times ten, you get twenty. Then also, you have four five-dollar bills. This means that both five and four are factors of 20.
How do we know if we have all of the factors of 20? The best way is to go through each number to see if we are missing factors. So far, we have 1 and 20, 2 and 10, and 4 and 5 as factors. Look at 3. Does 3 evenly divide into 20 without having a remainder?
No, if 3 was divided into 20, we would have a remainder of 2 because 3 times 6 equals 18 with a remainder of 2. We can also rule out 6 because of what we found out before with the number three. Six times three is 18, so we would have a remainder.
On we go. Seven cannot be divided into 20 evenly because 7 times 3 is 21. Seven times 2 is 14. There would definitely be a remainder. Eight and 9 are also not factors of 20. There are remainders for both of these.
We do not need to go any further than that because once we get the highest factor other than the number itself, you can stop. So, 10 is the biggest.
Therefore, our factors for 20 are the following:
Let’s pretend that you have 20 miles to get to the store. That is a long way, but you can do it if you take a short break at intervals. You must stop every 5 miles to take a break. This will allow you to make it the 20 miles in one trip. However, you need to know how many breaks you will take during this trip?
One way to determine how many breaks you will take is the divide. Divide 20 which is the number of miles by the interval time, which is 5 miles. So, 20 divided by 5 is 4. There will be four breaks.
Above, the diagram shows the starting point being before you started your trip. The ending point is your store. Every 5 miles, you take a break. That is shown in the diagram. Now, you may think that there are 4 breaks. We will assume that you have to take a break when you get to the store because you will be tired.
You are writing a test for your students. You know that you want to have 20 multiple choice questions on the test. You don’t want too many questions since the students must complete the test within the class period. There are 10 skills that this chapter test will cover. How many questions will there be for each skill?
You will have 2 questions per skill. To figure this out, see how many times 10 goes into 20. Hopefully, there will not be a remainder. If so, then this would not be the correct answer. When you divide 20 by 10, the answer is 2. Two and ten are factors of 20.
At a small company, there are 20 employees that have been hired. The boss needs to divide these employees into groups that will do the following non-job-related tasks:
How many employees will participate in each category?
In this case, there would be 5 employees for each category or task. That means there would be 5 people doing that one task. To find that, five times 4 equals 20. There is no remainder.
To make sure that you have all of the factors for a number like 20, you will need to multiply each number from 1 to 20 into 20. If there is a remainder, then that number is not a factor of 20.
You will need to know the factors of 20 for objects, people, or things that come in groups of 20. This can really be anything. There are many things that come in groups of 20. Some almost always come in groups of 20 like money or a set of time. Others just happen to come in a group of 20 like employees or questions.
To find the factors of 20, divide 20 by 2. This will provide you with the highest factor. At that point, then divide the numbers between 3 and 9 to see if there are any other factors for 20. In this case, you have 4 and 5.
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